Analysis Zones of Damage in the Interface Matrix Fibre  
  Authors : Saleh Mohammed Alsubari

 

This article is devoted to the study of the decoherence of the interface (matrix fibre) in a heterogeneous material in which we analyze the evolution of separation. The problem consists, in this case, studying the behavior of the crack locally. This local study is more significant as the parameters influencing in the mechanisms of rupture can be determined in the methods of composition and development of heterogeneous materials. In addition, it gives us the opportunity to present a numerical technique using the integral equations of borders and to show its performances compared to the finite element method. We note that the use of the finite element method does not enable us to reach this precision, for the reasons related to the refinement of the grid. Generally, the analytical solutions compare satisfactorily well to the cohesive finite element calculations and experimental data in the literature. The interest that we carried to the comparison of the displacements obtained by the two methods has as an aim the validation of our results, in order to go up with the constraints meadows of the point of crack and to be able to calculate the factors of stress intensity. We noted that the examination on a small scale of the deformation at a peak of crack shows the high degree of accuracy in which the grid by elements of border allows compared with the grid by finite elements that requires to use elements of more reduced size.

 

Published In : IJCAT Journal Volume 7, Issue 3

Date of Publication : March 2020

Pages : 06-11

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Saleh Mohammed Alsubari : is a Professor at the University of Amran in Faculty of Education. Department: mathematics, Amran University. His research interests include method homogeneisation by asymptotic development for calculation of material coefficients of plates composites. Mechanical modeling and scientific calculation by analytical numerical, He use finite elements method, he has published numerous papers for international journals and more than five conferences paper. Head Department of Mathematics in 2016.

 

 

 

 

 

 

 

cohesive model . surfaces and interfaces , Damage analyse , finite element

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The results of this study are very satisfactory, as well on the level of the validation of the formulations as on the level of the numerical programming by finite elements or the integral equations at the borders. However, the importance of this work finds its interest in possible cracking's which we often meet in the finished products of the composite structures .We stuck, during this work, to some extent to validate calculations resulting from the software finite elements, which we developed within our laboratory. Lastly, this work is integrated in a study in which we are interested in the localization zones of decoherence (fibre - matrix) which can, as we have just presented it, easily be analyzed by the techniques of the integral equations of borders and of shown the performances of this method in calculation of the rupture .le intoxicated will be minimized significantly.

 

 

 

 

 

 

 

 

 

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